| Issue |
EPL
Volume 87, Number 4, August 2009
|
|
|---|---|---|
| Article Number | 44001 | |
| Number of page(s) | 5 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/87/44001 | |
| Published online | 07 September 2009 | |
Discrete wave turbulence
RISC, J. Kepler University - Linz 4040, Austria, EU
Corresponding author: lena@risc.uni-linz.ac.at
Received:
12
June
2009
Accepted:
5
August
2009
In this letter we propose discrete wave turbulence (DWT) as a counterpart of classical statistical wave turbulence (SWT). DWT is characterized by resonance clustering, not by the size of clusters, i.e. it includes, but is not reduced to, the study of low-dimensional systems. Clusters with integrable and chaotic dynamics co-exist in different sub-spaces of the 
-space. NR-diagrams are introduced, a graphical representation of an arbitrary resonance cluster allowing to reconstruct uniquely dynamical system describing the cluster. DWT is shown to be a novel research field in nonlinear science, with its own methods, achievements and application areas.
PACS: 47.10.-g – General theory in fluid dynamics / 05.45.-a – Nonlinear dynamics and chaos / 47.27.-i – Turbulent flows
© EPLA, 2009
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